I am trying to find out two unknown values from one equation

Does anyone know how to find two unknown values in the one equation it is for a year twelve maths b assignment. I am trying to find out what c and k are in this equation (by the way c and k are constants):T=TS + ce^(-kt)Where TS= Temperature of surroundings which equals 23 degreesT= Temperature of the body at a time (t)t= Timec & k= constantsThank you for your help.

Does anyone know how to find two unknown values in the one equation it is for a year twelve maths b assignment. I am trying to find out what c and k are in this equation (by the way c and k are constants):T=TS + ce^(-kt)Where TS= Temperature of surroundings which equals 23 degreesT= Temperature of the body at a time (t)t= Timec & k= constantsThank you for your help.

I have Values for T and t but I don't know how to find the 2 unknowns in the 1 eqn

thanks ronL, in class we got the time and temperature which is:
t= 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
T= 93 75 62 51 45 41 37 35 33 31 30 29 28 27.8 27
But even if I substitute those numbers in I still have two unknowns left, and I don't know what to do after I substitute T and t in.
Thank you for your help

Does anyone know how to find two unknown values in the one equation it is for a year twelve maths b assignment. I am trying to find out what c and k are in this equation (by the way c and k are constants):T=TS + ce^(-kt)Where TS= Temperature of surroundings which equals 23 degreesT= Temperature of the body at a time (t)t= Timec & k= constantsThank you for your help.

Check your problem again...these types of problems usually come with initial conditions such as

The question in full

ok umm.. this is the question in full:
"Newton's Law of Cooling states that the rate of change of temperature of a body is proportional to the difference in temperature between the body and the temperature of its surrounds." (I don't actually understand the above sentence is that what you mean by t= y=)
"The formula fo Newton's law of cooling is:T=TS + ce^(-kt)Where TS= Temperature of surroundings which equals 23 degreesT= Temperature of the body at a time (t)t= Timec & k= constants"I then have made a graph of time (t) verse temperature (T) when t=x and T=yIt then says to"Determine how well Newton's Law of Cooling models your experimental data. Your solution should include the use of a spreadsheet and a comparative graph."So I thought that it meant that I had to come up with values for the constants so that I could model the formula against the data I obtained in a graph.
Thanks for your help.

thanks ronL, in class we got the time and temperature which is:
t= 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
T= 93 75 62 51 45 41 37 35 33 31 30 29 28 27.8 27
But even if I substitute those numbers in I still have two unknowns left, and I don't know what to do after I substitute T and t in.
Thank you for your help

You wish to fit a curve of the form:

to this data.

Rearrange:

Now take logs to get:

so plot against , this should be a straight line and its slope will be , and the intercept .